GCF of 7015/916, 3280/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7015/916, 3280/9744 i.e 5/2231376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7015/916, 3280/9744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7015/916,3280/9744?
Given fractions are 7015/916,3280/9744
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7015/916,3280/9744, numerators are 7015,3280
Denominators are 916,9744
The GCF of 7015,3280 is 5 .
LCM of 916,9744 is 2231376.
The greatest common factor of 7015/916,3280/9744 = [GCF of 7015,3280]/[LCM of 916,9744]= 5/2231376
Therefore, the GCF of 7015/916,3280/9744 is 5/2231376.
To find the highest common factor of 7015,3280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The HCF of 7015,3280 is 5.
Lets's calculate GCF of 7015,3280
| 5 | 7015, 3280 |
| 1403, 656 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7015,3280 By Matching Biggest Common Factor Method
Now, list down the factors of 7015
:1,5,23,61,115,305,1403,7015
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 7015,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 7015,3280 is 5.
Lets's calculate LCM of 916,9744
| 2 | 916, 9744 |
| 2 | 458, 4872 |
| 229, 2436 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 2436 = 2231376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2231376
Therefore, the GCF of Fractions 7015/916,3280/9744 is 5/2231376
Least Common Multiple of 916,9744 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 916,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,9744) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,9744) x common factors =4 x 1 = 4
LCM(916,9744) = ( 916 × 9744 ) / 4
LCM(916,9744) = 8925504 / 4
LCM(916,9744) = 2231376
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FAQs on GCF of Fractions of 7015/916, 3280/9744
1. What is the HCF of 7015,3280?
The HCF of 7015,3280 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7015/916, 3280/9744?
Answer: GCF of Numerators as per given numbers 7015/916, 3280/9744 is
GCF of Numerators i.e. for 7015,3280 is 5
LCM of denominators i.e. for 916,9744 is 2231376.
Thus, GCF of Fractions is 5/2231376.Finally, GCF of Fractions for 7015/916, 3280/9744 is 5/2231376.